A Differential Quadrature Hierarchical Finite Element Method

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A Differential Quadrature Hierarchical Finite Element Method

Author : Bo Liu
Publisher : World Scientific
ISBN 13 : 9811236771
Total Pages : 651 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis A Differential Quadrature Hierarchical Finite Element Method by : Bo Liu

Download or read book A Differential Quadrature Hierarchical Finite Element Method written by Bo Liu and published by World Scientific. This book was released on 2021-08-03 with total page 651 pages. Available in PDF, EPUB and Kindle. Book excerpt: The differential quadrature hierarchical finite element method (DQHFEM) was proposed by Bo Liu. This method incorporated the advantages and the latest research achievements of the hierarchical finite element method (HFEM), the differential quadrature method (DQM) and the isogeometric analysis (IGA). The DQHFEM also overcame many limitations or difficulties of the three methods.This unique compendium systemically introduces the construction of various DQHFEM elements of commonly used geometric shapes like triangle, tetrahedrons, pyramids, etc. Abundant examples are also included such as statics and dynamics, isotropic materials and composites, linear and nonlinear problems, plates as well as shells and solid structures.This useful reference text focuses largely on numerical algorithms, but also introduces some latest advances on high order mesh generation, which often has been regarded as the major bottle neck for the wide application of high order FEM.

Differential Quadrature and Differential Quadrature Based Element Methods

Author : Xinwei Wang
Publisher : Butterworth-Heinemann
ISBN 13 : 0128031077
Total Pages : 408 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Differential Quadrature and Differential Quadrature Based Element Methods by : Xinwei Wang

Download or read book Differential Quadrature and Differential Quadrature Based Element Methods written by Xinwei Wang and published by Butterworth-Heinemann. This book was released on 2015-03-24 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential Quadrature and Differential Quadrature Based Element Methods: Theory and Applications is a comprehensive guide to these methods and their various applications in recent years. Due to the attractive features of rapid convergence, high accuracy, and computational efficiency, the differential quadrature method and its based element methods are increasingly being used to study problems in the area of structural mechanics, such as static, buckling and vibration problems of composite structures and functional material structures. This book covers new developments and their applications in detail, with accompanying FORTRAN and MATLAB programs to help you overcome difficult programming challenges. It summarises the variety of different quadrature formulations that can be found by varying the degree of polynomials, the treatment of boundary conditions and employing regular or irregular grid points, to help you choose the correct method for solving practical problems. Offers a clear explanation of both the theory and many applications of DQM to structural analyses Discusses and illustrates reliable ways to apply multiple boundary conditions and develop reliable grid distributions Supported by FORTRAN and MATLAB programs, including subroutines to compute grid distributions and weighting coefficients

Understanding and Implementing the Finite Element Method

Author : Mark S. Gockenbach
Publisher : SIAM
ISBN 13 : 9780898717846
Total Pages : 364 pages
Book Rating : 4.7/5 (178 download)

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Book Synopsis Understanding and Implementing the Finite Element Method by : Mark S. Gockenbach

Download or read book Understanding and Implementing the Finite Element Method written by Mark S. Gockenbach and published by SIAM. This book was released on 2006-01-01 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understanding and Implementing the Finite Element Method Mark S. Gockenbach "Upon completion of this book a student or researcher would be well prepared to employ finite elements for an application problem or proceed to the cutting edge of research in finite element methods. The accuracy and the thoroughness of the book are excellent." --Anthony Kearsley, research mathematician, National Institute of Standards and Technology The infinite element method is the most powerful general-purpose technique for computing accurate solutions to partial differential equations. Understanding and Implementing the Finite Element Method is essential reading for those interested in understanding both the theory and the implementation of the finite element method for equilibrium problems. This book contains a thorough derivation of the finite element equations as well as sections on programming the necessary calculations, solving the finite element equations, and using a posteriori error estimates to produce validated solutions. Accessible introductions to advanced topics, such as multigrid solvers, the hierarchical basis conjugate gradient method, and adaptive mesh generation, are provided. Each chapter ends with exercises to help readers master these topics.

Mechcomp2

Author : Antonio J.M. Ferreira
Publisher : Società Editrice Esculapio
ISBN 13 : 8874889631
Total Pages : 204 pages
Book Rating : 4.8/5 (748 download)

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Book Synopsis Mechcomp2 by : Antonio J.M. Ferreira

Download or read book Mechcomp2 written by Antonio J.M. Ferreira and published by Società Editrice Esculapio. This book was released on 2016-05-20 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: Composites materials have aroused a great interest over the last few decades. Several applications of fibrous composites, functionally graded materials, laminated composites, nano-structured reinforcements, morphing structures, can be found in many engineering fields, such as aerospace, mechanical, naval and civil engineering. The necessity of lightweight structures, smart and adaptive systems, high-level strength, have led both the academic research and the manufacturing development to a recurring employment of these materials. Many journal papers and technical notes have been published extensively over the last seventy years in international scientific journals of different engineering fields. For this reason, the establishment of this second edition of Mechanics of Composites International Conference has appeared appropriate to continue what has been begun during the first edition occurred in 2014 at Stony Brook University (USA). MECHCOMP wants to be an occasion for many researchers from each part of the globe to meet and discuss about the recent advancements regarding the use of composite structures. As a proof of this event, which has taken place in Porto (Portugal), selected plenary and key-note lectures have been collected in the present book.

Proceedings of the 2nd International Conference on Mechanical System Dynamics

Author : Xiaoting Rui
Publisher : Springer Nature
ISBN 13 : 9819980488
Total Pages : 4383 pages
Book Rating : 4.8/5 (199 download)

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Book Synopsis Proceedings of the 2nd International Conference on Mechanical System Dynamics by : Xiaoting Rui

Download or read book Proceedings of the 2nd International Conference on Mechanical System Dynamics written by Xiaoting Rui and published by Springer Nature. This book was released on with total page 4383 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mechcomp3

Author : Antonio J.M. Ferreira
Publisher : Società Editrice Esculapio
ISBN 13 : 889385029X
Total Pages : 188 pages
Book Rating : 4.8/5 (938 download)

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Book Synopsis Mechcomp3 by : Antonio J.M. Ferreira

Download or read book Mechcomp3 written by Antonio J.M. Ferreira and published by Società Editrice Esculapio. This book was released on 2017-05-25 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: The use of composite materials has grown exponentially in the last decades and has affected many engineering fields due to their enhanced mechanical properties and improved features with respect to conventional materials. For instance, they are employed in civil engineering (seismic isolators, long-span bridges, vaults), mechanical engineering (turbines, machine components), aerospace and naval engineering (fuselages, boat hulls and sails), automotive engineering (car bodies, tires), and biomechanical engineering (prostheses).Nevertheless, the greater use of composites requires a rapid progress in gaining the needed knowledge to design and manufacture composite structures. Thus, researchers and designers devote their own efforts to develop new analysis techniques, design methodologies, manufacturing procedures, micromechanics approaches, theoretical models, and numerical methods. For these purpose, it is extremely easy to find many recent journal papers, books, and technical notes, focused on the mechanics of composites. In particular, several studies are presented to take advantage of their superior features by varying some typical structural parameters (such as geometry, fiber orientations, volume fraction, structural stiffness, weight, lamination scheme). Therefore, this Conference aims to collect contributions from every part of the globe that can increase the knowledge of composite materials and their applications, by engaging researches and professional engineers and designers from different sectors. The same aims and scopes have been reached by the previous editions of Mechanics of Composites International Conferences (MECHCOMP), which occurred in 2014 at Stony Brook University (USA) and in 2016 at University of Porto (Portugal).

Integrated Computer Technologies in Mechanical Engineering - 2023

Author : Mykola Nechyporuk
Publisher : Springer Nature
ISBN 13 : 3031614151
Total Pages : 641 pages
Book Rating : 4.0/5 (316 download)

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Book Synopsis Integrated Computer Technologies in Mechanical Engineering - 2023 by : Mykola Nechyporuk

Download or read book Integrated Computer Technologies in Mechanical Engineering - 2023 written by Mykola Nechyporuk and published by Springer Nature. This book was released on with total page 641 pages. Available in PDF, EPUB and Kindle. Book excerpt:

ICCS21

Author : Antonio J.M. Ferreira
Publisher : Società Editrice Esculapio
ISBN 13 : 8893850796
Total Pages : 160 pages
Book Rating : 4.8/5 (938 download)

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Book Synopsis ICCS21 by : Antonio J.M. Ferreira

Download or read book ICCS21 written by Antonio J.M. Ferreira and published by Società Editrice Esculapio. This book was released on 2018-07-23 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is well-known that the topic of composite mate- rials affects many engineering fields, such as civil, mechanical, aerospace, automotive and chemical. In the last decades, in fact, a huge number of scientific papers concerning these peculiar constituents has been published. Analogously, the industrial progress has been extremely noticeable. The study of composite materials, in general, is a challenging activity since the advancements both in the academia and in the industry provide continually new sparks to develop innovative ideas and applications. The communication, the sharing and the exchange of views can surely help the works of many researchers. This aspect represents the main purpose of this Conference, which aims to collect high-level contributions on the development and the application of composite materials. The establishment of this 21st edition of International Conference on Composite Structures has appeared appropriate to continue what has been begun during the previous editions. ICCS wants to be an occasion for many researchers from each part of the globe to meet and discuss about the recent advancements regarding the use of composite structures, sandwich panels, nanotechnology, bio-composites, delamination and fracture, experimental methods, manufacturing and other countless topics that have filled many sessions during this conference. As a proof of this event, which has taken place in Bologna (Italy), selected plenary and key-note lectures have been collected in the present book.

Finite Element Methods

Author : Jonathan Whiteley
Publisher : Springer
ISBN 13 : 3319499718
Total Pages : 236 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Finite Element Methods by : Jonathan Whiteley

Download or read book Finite Element Methods written by Jonathan Whiteley and published by Springer. This book was released on 2017-01-26 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents practical applications of the finite element method to general differential equations. The underlying strategy of deriving the finite element solution is introduced using linear ordinary differential equations, thus allowing the basic concepts of the finite element solution to be introduced without being obscured by the additional mathematical detail required when applying this technique to partial differential equations. The author generalizes the presented approach to partial differential equations which include nonlinearities. The book also includes variations of the finite element method such as different classes of meshes and basic functions. Practical application of the theory is emphasised, with development of all concepts leading ultimately to a description of their computational implementation illustrated using Matlab functions. The target audience primarily comprises applied researchers and practitioners in engineering, but the book may also be beneficial for graduate students.

Higher-Order Finite Element Methods

Author : Pavel Solin
Publisher : CRC Press
ISBN 13 : 0203488040
Total Pages : 404 pages
Book Rating : 4.2/5 (34 download)

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Book Synopsis Higher-Order Finite Element Methods by : Pavel Solin

Download or read book Higher-Order Finite Element Methods written by Pavel Solin and published by CRC Press. This book was released on 2003-07-28 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: The finite element method has always been a mainstay for solving engineering problems numerically. The most recent developments in the field clearly indicate that its future lies in higher-order methods, particularly in higher-order hp-adaptive schemes. These techniques respond well to the increasing complexity of engineering simulations and

The Finite Element Method Set

Author : O. C. Zienkiewicz
Publisher : Elsevier
ISBN 13 : 0080531679
Total Pages : 1863 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis The Finite Element Method Set by : O. C. Zienkiewicz

Download or read book The Finite Element Method Set written by O. C. Zienkiewicz and published by Elsevier. This book was released on 2005-11-25 with total page 1863 pages. Available in PDF, EPUB and Kindle. Book excerpt: The sixth editions of these seminal books deliver the most up to date and comprehensive reference yet on the finite element method for all engineers and mathematicians. Renowned for their scope, range and authority, the new editions have been significantly developed in terms of both contents and scope. Each book is now complete in its own right and provides self-contained reference; used together they provide a formidable resource covering the theory and the application of the universally used FEM. Written by the leading professors in their fields, the three books cover the basis of the method, its application to solid mechanics and to fluid dynamics. * This is THE classic finite element method set, by two the subject's leading authors * FEM is a constantly developing subject, and any professional or student of engineering involved in understanding the computational modelling of physical systems will inevitably use the techniques in these books * Fully up-to-date; ideal for teaching and reference

Thin-walled Laminated Structures

Author : Gennadi I. Mikhasev
Publisher : Springer
ISBN 13 : 3030127613
Total Pages : 280 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Thin-walled Laminated Structures by : Gennadi I. Mikhasev

Download or read book Thin-walled Laminated Structures written by Gennadi I. Mikhasev and published by Springer. This book was released on 2019-04-29 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a theoretical approach that allows the analysis of structures with magnetorheological and electrorheological layers, and shows, with the help of examples, how the mechanical behaviour of thin-walled laminated structures can be influenced. It consists of six chapters: Chapter 1 presents a brief overview of derivation approaches for theories of thin-walled structures, modelling of composites and modelling of laminated and sandwich structures. Chapter 2 describes the equivalent single layer model for thin laminated cylindrical shells, including the special cases of plates and beams. In addition to the classical mechanical properties, it also considers the electrorheological and magnetorheological properties. Chapter 3 presents the elastic buckling of laminated beams, plates, and cylindrical shells, discussing various problems, such as the influence of the boundary conditions, external loading and magnetic fields. It also suggests different approximations for asymptotic methods. Chapter 4 focuses on the free vibrations of elastic laminated beams, plates and cylindrical shells, investigating the influence of the boundary conditions and other factors. Chapter 5 presents the latest results concerning vibration of laminated structures composed of smart materials and discusses in detail the influence of electric and magnetic fields on smart structures. These results provide insights into the optimal design of these structures. Lastly, Chapter 6 features a short appendix presenting asymptotic estimates and series.

The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations

Author : A. K. Aziz
Publisher : Academic Press
ISBN 13 : 1483267989
Total Pages : 814 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations by : A. K. Aziz

Download or read book The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations written by A. K. Aziz and published by Academic Press. This book was released on 2014-05-10 with total page 814 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations is a collection of papers presented at the 1972 Symposium by the same title, held at the University of Maryland, Baltimore County Campus. This symposium relates considerable numerical analysis involved in research in both theoretical and practical aspects of the finite element method. This text is organized into three parts encompassing 34 chapters. Part I focuses on the mathematical foundations of the finite element method, including papers on theory of approximation, variational principles, the problems of perturbations, and the eigenvalue problem. Part II covers a large number of important results of both a theoretical and a practical nature. This part discusses the piecewise analytic interpolation and approximation of triangulated polygons; the Patch test for convergence of finite elements; solutions for Dirichlet problems; variational crimes in the field; and superconvergence result for the approximate solution of the heat equation by a collocation method. Part III explores the many practical aspects of finite element method. This book will be of great value to mathematicians, engineers, and physicists.

Hierarchical Composite Materials

Author : Kaushik Kumar
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110544024
Total Pages : 215 pages
Book Rating : 4.1/5 (15 download)

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Book Synopsis Hierarchical Composite Materials by : Kaushik Kumar

Download or read book Hierarchical Composite Materials written by Kaushik Kumar and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-04-23 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hierarchical Composite Materials provides an in-depth analysis of a class of advanced composites that have properties that are anisotropic due to structural organization at different length scales. Chapters address how ordering occurs from the atomic-scale up to the microstructure and how control of these factors leads to the final materials' properties. Manufacturing procedures, properties, and applications of different functionally graded materials are discussed in detail. This book is ideal for materials scientists, mechanical engineers, chemists and physicists.

The Finite Element Method: Theory, Implementation, and Applications

Author : Mats G. Larson
Publisher : Springer Science & Business Media
ISBN 13 : 3642332870
Total Pages : 403 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis The Finite Element Method: Theory, Implementation, and Applications by : Mats G. Larson

Download or read book The Finite Element Method: Theory, Implementation, and Applications written by Mats G. Larson and published by Springer Science & Business Media. This book was released on 2013-01-13 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an introduction to the finite element method as a general computational method for solving partial differential equations approximately. Our approach is mathematical in nature with a strong focus on the underlying mathematical principles, such as approximation properties of piecewise polynomial spaces, and variational formulations of partial differential equations, but with a minimum level of advanced mathematical machinery from functional analysis and partial differential equations. In principle, the material should be accessible to students with only knowledge of calculus of several variables, basic partial differential equations, and linear algebra, as the necessary concepts from more advanced analysis are introduced when needed. Throughout the text we emphasize implementation of the involved algorithms, and have therefore mixed mathematical theory with concrete computer code using the numerical software MATLAB is and its PDE-Toolbox. We have also had the ambition to cover some of the most important applications of finite elements and the basic finite element methods developed for those applications, including diffusion and transport phenomena, solid and fluid mechanics, and also electromagnetics.

Finite Element Analysis with Error Estimators

Author : J. E. Akin
Publisher : Elsevier
ISBN 13 : 0080472753
Total Pages : 465 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Finite Element Analysis with Error Estimators by : J. E. Akin

Download or read book Finite Element Analysis with Error Estimators written by J. E. Akin and published by Elsevier. This book was released on 2005-06-22 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: This key text is written for senior undergraduate and graduate engineering students. It delivers a complete introduction to finite element methods and to automatic adaptation (error estimation) that will enable students to understand and use FEA as a true engineering tool. It has been specifically developed to be accessible to non-mathematics students and provides the only complete text for FEA with error estimators for non-mathematicians. Error estimation is taught on nearly half of all FEM courses for engineers at senior undergraduate and postgraduate level; no other existing textbook for this market covers this topic. The only introductory FEA text with error estimation for students of engineering, scientific computing and applied mathematics Includes source code for creating and proving FEA error estimators

The Finite Element Method for Boundary Value Problems

Author : Karan S. Surana
Publisher : CRC Press
ISBN 13 : 1498780512
Total Pages : 824 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis The Finite Element Method for Boundary Value Problems by : Karan S. Surana

Download or read book The Finite Element Method for Boundary Value Problems written by Karan S. Surana and published by CRC Press. This book was released on 2016-11-17 with total page 824 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by two well-respected experts in the field, The Finite Element Method for Boundary Value Problems: Mathematics and Computations bridges the gap between applied mathematics and application-oriented computational studies using FEM. Mathematically rigorous, the FEM is presented as a method of approximation for differential operators that are mathematically classified as self-adjoint, non-self-adjoint, and non-linear, thus addressing totality of all BVPs in various areas of engineering, applied mathematics, and physical sciences. These classes of operators are utilized in various methods of approximation: Galerkin method, Petrov-Galerkin Method, weighted residual method, Galerkin method with weak form, least squares method based on residual functional, etc. to establish unconditionally stable finite element computational processes using calculus of variations. Readers are able to grasp the mathematical foundation of finite element method as well as its versatility of applications. h-, p-, and k-versions of finite element method, hierarchical approximations, convergence, error estimation, error computation, and adaptivity are additional significant aspects of this book.